Calculate the entropy of the fourth-order extension of the source defined in Table 12.1. Determine LÌ/n for

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Calculate the entropy of the fourth-order extension of the source defined in Table 12.1.  Determine LÌ…/n for n = 4, and add this result to those shown in Figure 12.9. Determine the efficiency of the resulting codes for n= 1, 2, 3, and 4.

Table 12.1 First-Order Source Extension Source symbol Symbol probability P(-) Code word P(:)l, 0.9 0.9 B 0.1 0.1 L = 1.0


Figure 12.9

In 1.0 0.8 0.6 0.469 -Н(X) 0.4 0.2 п 3

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